Pre Calculus Worksheet PDF - Tabuk International Schools

Vision / Tabuk International Schools should be the first choice for global education in the region. Mission / To provide distinguished education in a modern way in an attractive educational environment and influential community participation. Through the fundamentals of legitimacy and genuine natio...

Vision / Tabuk International Schools should be the first choice for global education in the region. Mission / To provide distinguished education in a modern way in an attractive educational environment and influential community participation. Through the fundamentals of legitimacy and genuine national affiliation and investment of technology and the achievement of quality and vision 2030. Academic Year: 2024/2025 Semester: 2 Subject: MATH Book Title: Pre Calculus Date: 30/01/2025 Grade: 11 WORKSHEET N0 (2) Q1. Read the questions carefully and choose only one correct answer. 1. Transform the product 2 𝐜𝐨𝐬 𝟕𝟑°𝒔𝒊𝒏 𝟔𝟐 ° into a sum or difference of sines or cosines. a) sin 135° − sin 11° b) cos 135° − cos 11° c) sin 135° + cos 11° d) cos 135° − sin 11° 2. Transform the product 2 𝐬𝐢𝐧 𝟒𝟏° 𝐜𝐨𝐬 𝟐𝟒 ° into a sum or difference of sines or cosines. 𝑎) sin 65° + sin 17° b) cos 65° − cos 17° 𝑐) sin 65° + cos 17° 𝑑) cos 65° − sin 17° 3. Transform the product 2 𝐜𝐨𝐬 𝟐° 𝐜𝐨𝐬 𝟑 ° into a sum or difference of sines or cosines. a) sin 5° + sin 1° b) cos 5° − cos 1° 𝑐) sin 5° + cos 1° 𝑑) cos 5° + cos 1°  4. Transform the product 2 𝐬𝐢𝐧 𝟐𝟗° 𝐬𝐢𝐧 𝟏𝟔 ° into a sum or difference of sines or cosines. a) sin 13° + sin 45° b) cos 13° − cos 45° 𝑐) sin 13° + cos 45° 𝑑) cos 45° − cos 13° 5. 𝐬𝐢𝐧 𝟐𝒙 = a) 2 sin 𝑥 cos 𝑥 b) −2 sin 𝑥 cos 𝑥 c) 2 sin 2𝑥 cos 2𝑥 d) −2 sin 2𝑥 cos 2𝑥 1+𝑐𝑜𝑠2 𝑥 6. cos2 𝑥=. Name the property. 2 a) Square of sine property. b) Square of cosine property. c) Product of sine and cosine property. d) None of the above. 1−𝑐𝑜𝑠2 𝑥 7. sin2 𝑥=. Name the property. 2 a) Square of sine property. b) Square of cosine property. c) Product of sine and cosine property. d) None of the above.  1 8. 2 sin 𝑥 cos 𝑥 = sin 2𝑥. Name the property. 2 a) Square of sine property. b) Square of cosine property. c) Product of sine and cosine property. d) None of the above. 9. If cos 𝑥 = 0.3, find the exact value of cos 2𝑥. a) -0.82 b) 0.82 c) 1 d) 0 2 tan 𝐴 10. tan 2𝐴 = 1−𝑡𝑎𝑛2 𝐴.Name the property. a) Double Argument property for sine b) Double Argument property for cosine. c) Double Argument property for tan. d) None of the above. 11. cos(−𝑥) = a) cos(𝑥) b)− cos(𝑥) c) sin (𝑥) d) None of the above 12. cosec (−𝑥) = 𝑎) cos 𝑒𝑐(𝑥) b)− cos 𝑒𝑐(𝑥) c) sin (𝑥) d) None of the above 13. In general, cos( 𝑥 + 𝑦)= ………………. in terms of cosines and sines of x and y. a) cos 𝑥 cos 𝑦 - sin 𝑥 sin 𝑦 b) cos 𝑥 cos 𝑦 + sin 𝑥 sin 𝑦 c) cos 𝑥 sin 𝑦 + sin 𝑥 cos 𝑦 d) None of the above 14. cos 7 cos 3 + sin 7 sin 3 = a) cos 10 b) cos 4 c) sin 10 d) sin 4  15. cos 7 cos 3 - sin 7 sin 3 = a) cos 10 b) cos 4 c) sin 10 d) sin 4 Q2. Write True or False. 1. cos 2𝐴 =cos2 A – sin2 A - True 2 tan 𝐴 2. tan 2𝐴 = 1+𝑡𝑎𝑛2 𝐴 - False 3. cos 2𝐴 =2 cos2 A + 1 - False 4. cos 2𝐴 = 1+ 2 sin2 A - False 5. sin( −𝑥) = - sin 𝑥 - True 6. Cosine and its reciprocal are even functions - True 7. tan(−𝑥) = tan(𝑥) - False 8. Cot (−𝑥) = cot x - False 9. Sin and its reciprocal are odd functions - True 10. Sin (A + B) = sin A cos B + cos A sin B - True ‫قسم االشراف األكاديمي وضبط الجودة‬ Department of Academic Supervision and Quality Control